2231180441600 has 288 divisors, whose sum is σ = 6111396345600. Its totient is φ = 801052262400.

The previous prime is 2231180441599. The next prime is 2231180441617. The reversal of 2231180441600 is 61440811322.

It is a super-3 number, since 3×2231180441600³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44467727 + ... + 44517873.

It is an arithmetic number, because the mean of its divisors is an integer number (21220126200).

Almost surely, 2^{2231180441600} is an apocalyptic number.

2231180441600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231180441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055698172800).

2231180441600 is an abundant number, since it is smaller than the sum of its proper divisors (3880215904000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2231180441600 is a wasteful number, since it uses less digits than its factorization.

2231180441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50269 (or 50244 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 2231180441600 in words is "two trillion, two hundred thirty-one billion, one hundred eighty million, four hundred forty-one thousand, six hundred".